Line element in quantum gravity: the examples of DSR and noncommutative geometry

Details Line element in quantum gravity: the examples of DSR and noncommutative geometry Line element in quantum gravity: the examples of DSR and noncommutative geometry

2009-04-30

arxiv.org/abs/0904.4865v2

Int.J.Mod.Phys.A24:2792-2801,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

some references added. Proceedings of the Second Workshop on Quantum Gravity and Noncommutative Geometry, Universidade Lusofon

Scientific paper

10.1142/S0217751X09046242

We question the notion of line element in some quantum spaces that are expected to play a role in quantum gravity, namely non-commutative deformations of Minkowski spaces. We recall how the implementation of the Leibniz rule forbids to see some of the infinitesimal deformed Poincare transformations as good candidates for Noether symmetries. Then we recall the more fundamental view on the line element proposed in noncommutative geometry, and re-interprete at this light some previous results on Connes' distance formula.

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